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## Khukhro, Evgeniĭ I.

Compute Distance To:
 Author ID: khukhro.evgenii-i Published as: Huhro, E. I.; Khukhro, E.; Khukhro, E. I.; Khukhro, Evgenii I.; Khukhro, Evgenij I.; Khukhro, Evgeny; Khukhro, Evgeny I. Homepage: https://staff.lincoln.ac.uk/ekhukhro External Links: MGP · Math-Net.Ru · ORCID · dblp
 Documents Indexed: 132 Publications since 1976, including 11 Books Reviewing Activity: 122 Reviews
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#### Co-Authors

 69 single-authored 21 Shumyatsky, Pavel 18 Makarenko, N. Yu. 12 Mazurov, Viktor Danilovich 3 Borovik, Alexandre Vasilievich 3 Ercan, Gülin 3 Güloglu, Ismail Suayip 3 Smith, Howard 2 Cutolo, Giovanni 2 Lennox, John C. 2 Rinauro, Silvana 2 Wiegold, James 1 Acciarri, Cristina 1 Andruskiewitsch, Nicolás 1 Elduque, Alberto 1 Ershov, Yuriĭ Leonidovich 1 Hassani, Akbar 1 Jaikin-Zapirain, Andrei 1 Khayaty, Mehdi 1 Klyachko, Anton Aleksandrovich 1 Levchuk, V. I. 1 Makarenko, Natalia 1 Makharenko, N. Yu. 1 Mel’nikova, Yu. B. 1 Moretó, Alexander 1 Myasnikov, Alexei G. 1 Podufalov, Nickolay D. 1 Praeger, Cheryl Elisabeth 1 Shestakov, Ivan Pavlovich 1 Traustason, Gunnar 1 Vasil’ev, Andreĭ Viktorovich 1 Vdovin, Evgeniĭ Petrovich 1 Zarrin, Mohammad
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#### Serials

 16 Journal of Algebra 12 Algebra and Logic 11 Siberian Mathematical Journal 9 Algebra i Logika 6 Sibirskiĭ Matematicheskiĭ Zhurnal 6 Doklady Mathematics 5 Mathematical Notes 4 Matematicheskie Zametki 4 Mathematics of the USSR, Sbornik 3 Bulletin of the London Mathematical Society 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Proceedings of the American Mathematical Society 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Israel Journal of Mathematics 2 Glasgow Mathematical Journal 2 Journal of the London Mathematical Society. Second Series 2 Monatshefte für Mathematik 2 International Journal of Algebra and Computation 2 Russian Academy of Sciences. Sbornik. Mathematics 2 The Quarterly Journal of Mathematics 2 Journal of the Australian Mathematical Society 1 Communications in Algebra 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Mathematics of the USSR. Izvestiya 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Forum Mathematicum 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Matematicheskiĭ Sbornik 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Voprosy Algebry 1 De Gruyter Expositions in Mathematics 1 London Mathematical Society Lecture Note Series 1 International Journal of Group Theory 1 Journal of Siberian Federal University. Mathematics & Physics
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#### Fields

 123 Group theory and generalizations (20-XX) 36 Nonassociative rings and algebras (17-XX) 10 General and overarching topics; collections (00-XX) 6 Topological groups, Lie groups (22-XX) 3 Associative rings and algebras (16-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX)

#### Citations contained in zbMATH Open

102 Publications have been cited 952 times in 591 Documents Cited by Year
The Kourovka notebook. Unsolved problems in group theory. 17th ed. Zbl 1211.20001
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
2010
$$p$$-automorphisms of finite $$p$$-groups. Zbl 0897.20018
Khukhro, E. I.
1998
Nilpotent groups and their automorphisms. Zbl 0795.20018
Khukhro, Evgenij I.
1993
The Kourovka notebook. Unsolved problems in group theory. 18th edition. Zbl 1372.20001
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
2014
The Kourovka notebook. Unsolved problems in group theory. Including archive of solved problems. 16th ed. Zbl 1084.20001
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
2006
The Kourovka notebook. Unsolved problems in group theory. 13th augm. ed. Zbl 0838.20001
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
1995
Bounding the exponent of a finite group with automorphisms. Zbl 0923.20014
Khukhro, E. I.; Shumyatsky, P.
1999
Lie rings and Lie groups admitting an almost regular automorphism of prime order. Zbl 0745.17008
Khukhro, E. I.
1992
The Kourovka notebook. Unsolved problems in group theory. (Kourovskaya tetrad’. Nereshennye voprosy teorii grupp). 15th augm. ed. Zbl 0999.20001
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
2002
Frobenius groups of automorphisms and their fixed points. Zbl 1328.17017
Khukhro, Evgeny; Makarenko, Natalia; Shumyatsky, Pavel
2014
Finite $$p$$-groups admitting $$p$$-automorphisms with few fixed points. Zbl 0836.20018
Khukhro, E. I.
1993
Large characteristic subgroups satisfying multilinear commutator identities. Zbl 1132.20013
Khukhro, E. I.; Makarenko, N. Yu.
2007
Nonsoluble and non-$$p$$-soluble length of finite groups. Zbl 1333.20023
Khukhro, E. I.; Shumyatsky, P.
2015
Finite groups with an automorphism of prime order whose centralizer has small rank. Zbl 1108.20019
Khukhro, E. I.; Mazurov, V. D.
2006
Fixed points of Frobenius groups of automorphisms. Zbl 1238.20038
Makarenko, N. Yu.; Khukhro, E. I.; Shumyatsky, P.
2011
Almost solubility of Lie algebras with almost regular automorphisms. Zbl 1060.17004
Makarenko, N. Yu.; Khukhro, E. I.
2004
The Kourovka notebook. Unsolved problems in group theory. Transl. from the Russian. 14th augm. ed. Zbl 0943.20004
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
1999
Lie rings and groups admitting an almost regular automorphism of prime order. Zbl 0713.17013
Khukhro, E. I.
1990
Fitting height of a finite group with a Frobenius group of automorphisms. Zbl 1270.20024
Khukhro, E. I.
2012
A solvable group admitting a regular splitting automorphism of prime order is nilpotent. Zbl 0426.20027
Khukhro, E. I.
1979
Words and pronilpotent subgroups in profinite groups. Zbl 1310.20030
Khukhro, E. I.; Shumyatsky, P.
2014
Finite $$p$$-groups admitting an automorphism of order $$p$$ with a small number of fixed points. Zbl 0598.20024
Khukhro, E. I.
1985
Nilpotency of solvable groups admitting a splitting automorphism of prime order. Zbl 0475.20018
Khukhro, E. I.
1980
Graded Lie rings with many commuting components and an application to 2-Frobenius groups. Zbl 1200.17015
Khukhro, E. I.
2008
On locally nilpotent groups admitting a splitting automorphism of prime order. Zbl 0608.20025
Khukhro, E. I.
1986
Nilpotent length of a finite group admitting a Frobenius group of automorphisms with fixed-point-free kernel. Zbl 1223.20016
Khukhro, E. I.
2011
Locally finite groups all of whose subgroups are boundedly finite over their cores. Zbl 0904.20030
Cutolo, G.; Khukhro, E. I.; Lennox, J. C.; Rinauro, S.; Smith, H.; Wiegold, James
1997
Almost Engel compact groups. Zbl 1427.20048
Khukhro, E. I.; Shumyatsky, P.
2018
Automorphism invariance and identities. Zbl 1250.20023
Khukhro, E. I.; Klyachko, Ant. A.; Makarenko, N. Yu.; Melnikova, Yu. B.
2009
On the length of finite groups and of fixed points. Zbl 1330.20036
Khukhro, E. I.; Shumyatsky, P.
2015
On solubility of groups with bounded centralizer chains. Zbl 1163.20008
Khukhro, E. I.
2009
Lie rings with almost regular automorphisms. Zbl 1035.17019
Khukhro, E. I.; Makarenko, N. Yu.
2003
Finite groups with an almost regular automorphism of order four. Zbl 1156.20022
Makarenko, N. Yu.; Khukhro, E. I.
2006
Transitive permutation groups with bounded movement having maximal degree. Zbl 0922.20006
Hassani, Akbar; Khayaty, Mehdi; Khukhro, E. I.; Praeger, Cheryl E.
1999
Lie rings admitting an automorphism of order 4 with few fixed points. Zbl 0903.17008
Makarenko, N. Yu.; Khukhro, E. I.
1998
Nilpotent groups admitting an almost regular automorphism of order $$4$$. Zbl 0936.20032
Makarenko, N. Yu.; Khukhro, E. I.
1996
On a connection between a hypothesis of Hughes and relations in finite groups of prime exponent. Zbl 0473.20016
Khukhro, E. I.
1981
Rank and order of a finite group admitting a Frobenius group of automorphisms. Zbl 1272.20020
Khukhro, E. I.
2013
Finite core-$$p$$ $$p$$-groups. Zbl 0878.20014
Cutolo, G.; Khukhro, E. I.; Lennox, J. C.; Wiegold, J.; Rinauro, S.; Smith, H.
1997
Hughes problem for finite $$p$$-groups. Zbl 0665.20009
Khukhro, E. I.
1987
Almost Engel finite and profinite groups. Zbl 1354.20024
Khukhro, E. I.; Shumyatsky, P.
2016
Finite groups and Lie rings with a metacyclic Frobenius group of automorphisms. Zbl 1293.20020
Khukhro, E. I.; Makarenko, N. Yu.
2013
Nilpotency of finite groups with Frobenius groups of automorphisms. Zbl 1260.20036
Khukhro, E. I.; Shumyatsky, P.
2011
Groups with an automorphism of prime order that is almost regular in the sense of rank. Zbl 1140.20022
Khukhro, E. I.
2008
Characteristic nilpotent subgroups of bounded co-rank and automorphically invariant nilpotent ideals of bounded codimension in Lie algebras. Zbl 1147.17007
Khukhro, E. I.; Makarenko, N. Yu.
2007
Automorphisms with centralizers of small rank. Zbl 1130.20021
Khukhro, Evgeny; Mazurov, Victor
2007
Finite groups of bounded rank with an almost regular automorphism of prime order. Zbl 1018.20017
Khukhro, E. I.
2002
The Kourovka notebook. Unsolved problems in group theory. Transl. from the Russian. Including archive of solved problems. 15th augm. ed. Zbl 0999.20002
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
2002
On solvability of Lie rings with an automorphism of finite order. Zbl 0996.17006
Khukhro, E. I.
2001
Applications of the Baker-Hausdorff formula in finite $$p$$-groups. Zbl 0941.20013
Khukhro, E. I.
1999
On fixed points of automorphisms of Lie rings and locally finite groups. Zbl 0901.20026
Khukhro, E. I.; Shumyatskij, P. V.
1995
On the problem of Hughes for finite p-groups. Zbl 0658.20015
Khukhro, E. I.
1987
Finite groups with Engel sinks of bounded rank. Zbl 06909856
Khukhro, E. I.; Shumyatsky, P.
2018
Rank and order of a finite group admitting a Frobenius-like group of automorphisms. Zbl 1326.20023
Ercan, G.; Güloğlu, I.; Khukhro, E. I.
2014
Frobenius-like groups as groups of automorphisms. Zbl 1321.20023
Ercan, Gülin; Güloğlu, İsmail Şuayip; Khukhro, Evgeny
2014
Automorphisms of finite $$p$$-groups admitting a partition. Zbl 1264.20025
Khukhro, E. I.
2012
Fixed points of the complements of Frobenius groups of automorphisms. Zbl 1208.20026
Khukhro, E. I.
2010
Automorphically-invariant ideals satisfying multilinear identities, and group-theoretic applications. Zbl 1163.17002
Khukhro, E. I.; Makarenko, N. Yu.
2008
Finite soluble and nilpotent groups with a restriction on the rank of the centralizer of an automorphism of prime order. Zbl 0956.20013
Khukhro, E. I.
2000
On a generalization of the Hughes subgroup. Zbl 0941.20012
Khukhro, E. I.
1997
Almost regular automorphisms of finite groups of bounded rank. Zbl 0882.20014
Khukhro, E. I.
1996
Groups and Lie rings admitting almost regular automorphisms of prime order. Zbl 0704.20026
Khukhro, E. I.
1990
A remark on periodic compact groups. Zbl 0682.22006
Khukhro, E. I.
1989
A new identity in the Lie ring of a free group of prime period and groups without Hughes property. Zbl 0619.20016
Khukhro, E. I.
1986
On the associated Lie ring of a free 2-generator group of prime exponent and the Hughes conjecture for 2-generator $$p$$-groups. Zbl 0519.20033
Khukhro, E. I.
1983
On finite soluble groups with almost fixed-point-free automorphisms of noncoprime order. Zbl 1333.20027
Khukhro, E. I.
2015
Derived length of a Frobenius-like kernel. Zbl 1304.20038
Ercan, Gülin; Güloğlu, İsmail Ş.; Khukhro, Evgeny
2014
Lie algebras admitting a metacyclic Frobenius group of automorphisms. Zbl 1321.17013
Makarenko, N. Yu.; Khukhro, E. I.
2013
On $$p$$-soluble groups with a generalized $$p$$-central or powerful Sylow $$p$$-subgroup. Zbl 1262.20015
Khukhro, E. I.
2012
Nilpotent ideals in graded Lie algebras and almost constant-free derivations. Zbl 1226.17013
Khukhro, E. I.; Makarenko, N. Yu.; Shumyatsky, P.
2008
On groups admitting a group of automorphisms whose centralizer has bounded rank. Zbl 1118.20025
Mazurov, V. D.; Khukhro, E. I.
2006
Lie algebras with almost constant-free derivations. Zbl 1162.17013
Khukhro, E. I.; Shumyatsky, P.
2006
Groups with largely splitting automorphisms of orders three and four. Zbl 1031.20034
Makarenko, N. Yu.; Khukhro, E. I.
2003
Generalizations of the restricted Burnside problem for groups with automorphisms. Zbl 0941.20043
Khukhro, E. I.
1999
Locally finite groups with all subgroups normal-by-(finite rank). Zbl 0896.20029
Khukhro, E. I.; Smith, H.
1998
Lie rings with automorphisms of degree 4 with small number of a fixed points. Zbl 0896.17005
Makharenko, N. Yu.; Khukhro, E. I.
1996
On finite $$p$$-groups not satisfying the Hughes conjecture. Zbl 0835.20031
Khukhro, E. I.
1994
Nilpotent periodic groups with an almost regular automorphism of prime order. Zbl 0663.20039
Khukhro, E. I.
1987
On the Lie ring of a 2-generated free group of prime exponent and the Hughes conjecture for 2-generated $$p$$-groups. Zbl 0484.20017
Huhro, E. I.
1982
Fixed points of $$p$$-automorphisms of finite $$p$$-groups. Zbl 0407.20019
Huhro, E. I.
1976
Über die Automorphismengruppen endlicher $$p$$-Gruppen. Zbl 0347.20011
Borovik, A. V.; Huhro, E. I.
1976
Engel-type subgroups and length parameters of finite groups. Zbl 1433.20002
Khukhro, E. I.; Shumyatsky, P.
2017
Finite groups and Lie rings with an automorphism of order $$2^n$$. Zbl 1428.20027
Khukhro, E. I.; Makarenko, N. Yu.; Shumyatsky, P.
2017
Locally finite groups containing a $$2$$-element with Chernikov centralizer. Zbl 1339.20034
Khukhro, E. I.; Makarenko, N. Yu.; Shumyatsky, P.
2016
On the length of finite factorized groups. Zbl 1332.20021
Khukhro, E. I.; Shumyatsky, P.
2015
Applications of Clifford’s theorem to Frobenius groups of automorphisms. Zbl 1294.20027
Khukhro, E. I.
2012
Lie rings with a finite cyclic grading in which there are many commuting components. Zbl 1299.17025
Khukhro, E. I.
2009
Large characteristic subgroups satisfying multilinear commutator identities. Zbl 1327.20029
Makarenko, N. Yu.; Khukhro, E. I.
2007
Automorphisms of prime order almost regular in the sense of rank. Zbl 1153.20306
Khukhro, E. I.
2007
The Andrews-Curtis conjecture and black box groups. Zbl 1053.20023
Borovik, Alexandre V.; Khukhro, Evgenii I.; Myasnikov, Alexei G.
2003
On a question of G. Glauberman about a replacement theorem for finite $$p$$-groups. Zbl 0990.20011
Khukhro, E. I.
2001
On a connection between nilpotent groups and Lie rings. Zbl 0993.20028
Jaikin-Zapirain, A.; Khukhro, E. I.
2000
The Kourovka notebook. Unsolved problems in group theory. (Kourovskaya tetrad’. Nereshennye voprosy teorii grupp). 14th augm. ed. Zbl 0943.20003
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
1999
Nilpotency in varieties of groups with operators. Zbl 0735.20013
Khukhro, E. I.
1991
Construction of finite p-groups that admit partitions. Zbl 0727.20015
Khukhro, E. I.
1989
Nilpotent $$p$$-groups and their automorphisms. Zbl 0754.20003
Khukhro, E. I.
1989
On locally nilpotent groups admitting a splitting automorphism of prime order. Zbl 0622.20030
Khukhro, E. I.
1987
Finite p-groups that are close to groups of prime period. Zbl 0614.20010
Khukhro, E. I.
1986
On a connection between Hughes’ conjecture and relations in finite groups of prime exponent. Zbl 0501.20016
Khukhro, E. I.
1983
Finite groups of period $$p^\alpha q^beta$$. Zbl 0427.20014
Khukhro, E. I.
1979
Almost Engel compact groups. Zbl 1427.20048
Khukhro, E. I.; Shumyatsky, P.
2018
Finite groups with Engel sinks of bounded rank. Zbl 06909856
Khukhro, E. I.; Shumyatsky, P.
2018
Engel-type subgroups and length parameters of finite groups. Zbl 1433.20002
Khukhro, E. I.; Shumyatsky, P.
2017
Finite groups and Lie rings with an automorphism of order $$2^n$$. Zbl 1428.20027
Khukhro, E. I.; Makarenko, N. Yu.; Shumyatsky, P.
2017
Almost Engel finite and profinite groups. Zbl 1354.20024
Khukhro, E. I.; Shumyatsky, P.
2016
Locally finite groups containing a $$2$$-element with Chernikov centralizer. Zbl 1339.20034
Khukhro, E. I.; Makarenko, N. Yu.; Shumyatsky, P.
2016
Nonsoluble and non-$$p$$-soluble length of finite groups. Zbl 1333.20023
Khukhro, E. I.; Shumyatsky, P.
2015
On the length of finite groups and of fixed points. Zbl 1330.20036
Khukhro, E. I.; Shumyatsky, P.
2015
On finite soluble groups with almost fixed-point-free automorphisms of noncoprime order. Zbl 1333.20027
Khukhro, E. I.
2015
On the length of finite factorized groups. Zbl 1332.20021
Khukhro, E. I.; Shumyatsky, P.
2015
The Kourovka notebook. Unsolved problems in group theory. 18th edition. Zbl 1372.20001
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
2014
Frobenius groups of automorphisms and their fixed points. Zbl 1328.17017
Khukhro, Evgeny; Makarenko, Natalia; Shumyatsky, Pavel
2014
Words and pronilpotent subgroups in profinite groups. Zbl 1310.20030
Khukhro, E. I.; Shumyatsky, P.
2014
Rank and order of a finite group admitting a Frobenius-like group of automorphisms. Zbl 1326.20023
Ercan, G.; Güloğlu, I.; Khukhro, E. I.
2014
Frobenius-like groups as groups of automorphisms. Zbl 1321.20023
Ercan, Gülin; Güloğlu, İsmail Şuayip; Khukhro, Evgeny
2014
Derived length of a Frobenius-like kernel. Zbl 1304.20038
Ercan, Gülin; Güloğlu, İsmail Ş.; Khukhro, Evgeny
2014
Rank and order of a finite group admitting a Frobenius group of automorphisms. Zbl 1272.20020
Khukhro, E. I.
2013
Finite groups and Lie rings with a metacyclic Frobenius group of automorphisms. Zbl 1293.20020
Khukhro, E. I.; Makarenko, N. Yu.
2013
Lie algebras admitting a metacyclic Frobenius group of automorphisms. Zbl 1321.17013
Makarenko, N. Yu.; Khukhro, E. I.
2013
Fitting height of a finite group with a Frobenius group of automorphisms. Zbl 1270.20024
Khukhro, E. I.
2012
Automorphisms of finite $$p$$-groups admitting a partition. Zbl 1264.20025
Khukhro, E. I.
2012
On $$p$$-soluble groups with a generalized $$p$$-central or powerful Sylow $$p$$-subgroup. Zbl 1262.20015
Khukhro, E. I.
2012
Applications of Clifford’s theorem to Frobenius groups of automorphisms. Zbl 1294.20027
Khukhro, E. I.
2012
Fixed points of Frobenius groups of automorphisms. Zbl 1238.20038
Makarenko, N. Yu.; Khukhro, E. I.; Shumyatsky, P.
2011
Nilpotent length of a finite group admitting a Frobenius group of automorphisms with fixed-point-free kernel. Zbl 1223.20016
Khukhro, E. I.
2011
Nilpotency of finite groups with Frobenius groups of automorphisms. Zbl 1260.20036
Khukhro, E. I.; Shumyatsky, P.
2011
The Kourovka notebook. Unsolved problems in group theory. 17th ed. Zbl 1211.20001
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
2010
Fixed points of the complements of Frobenius groups of automorphisms. Zbl 1208.20026
Khukhro, E. I.
2010
Automorphism invariance and identities. Zbl 1250.20023
Khukhro, E. I.; Klyachko, Ant. A.; Makarenko, N. Yu.; Melnikova, Yu. B.
2009
On solubility of groups with bounded centralizer chains. Zbl 1163.20008
Khukhro, E. I.
2009
Lie rings with a finite cyclic grading in which there are many commuting components. Zbl 1299.17025
Khukhro, E. I.
2009
Graded Lie rings with many commuting components and an application to 2-Frobenius groups. Zbl 1200.17015
Khukhro, E. I.
2008
Groups with an automorphism of prime order that is almost regular in the sense of rank. Zbl 1140.20022
Khukhro, E. I.
2008
Automorphically-invariant ideals satisfying multilinear identities, and group-theoretic applications. Zbl 1163.17002
Khukhro, E. I.; Makarenko, N. Yu.
2008
Nilpotent ideals in graded Lie algebras and almost constant-free derivations. Zbl 1226.17013
Khukhro, E. I.; Makarenko, N. Yu.; Shumyatsky, P.
2008
Large characteristic subgroups satisfying multilinear commutator identities. Zbl 1132.20013
Khukhro, E. I.; Makarenko, N. Yu.
2007
Characteristic nilpotent subgroups of bounded co-rank and automorphically invariant nilpotent ideals of bounded codimension in Lie algebras. Zbl 1147.17007
Khukhro, E. I.; Makarenko, N. Yu.
2007
Automorphisms with centralizers of small rank. Zbl 1130.20021
Khukhro, Evgeny; Mazurov, Victor
2007
Large characteristic subgroups satisfying multilinear commutator identities. Zbl 1327.20029
Makarenko, N. Yu.; Khukhro, E. I.
2007
Automorphisms of prime order almost regular in the sense of rank. Zbl 1153.20306
Khukhro, E. I.
2007
The Kourovka notebook. Unsolved problems in group theory. Including archive of solved problems. 16th ed. Zbl 1084.20001
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
2006
Finite groups with an automorphism of prime order whose centralizer has small rank. Zbl 1108.20019
Khukhro, E. I.; Mazurov, V. D.
2006
Finite groups with an almost regular automorphism of order four. Zbl 1156.20022
Makarenko, N. Yu.; Khukhro, E. I.
2006
On groups admitting a group of automorphisms whose centralizer has bounded rank. Zbl 1118.20025
Mazurov, V. D.; Khukhro, E. I.
2006
Lie algebras with almost constant-free derivations. Zbl 1162.17013
Khukhro, E. I.; Shumyatsky, P.
2006
Almost solubility of Lie algebras with almost regular automorphisms. Zbl 1060.17004
Makarenko, N. Yu.; Khukhro, E. I.
2004
Lie rings with almost regular automorphisms. Zbl 1035.17019
Khukhro, E. I.; Makarenko, N. Yu.
2003
Groups with largely splitting automorphisms of orders three and four. Zbl 1031.20034
Makarenko, N. Yu.; Khukhro, E. I.
2003
The Andrews-Curtis conjecture and black box groups. Zbl 1053.20023
Borovik, Alexandre V.; Khukhro, Evgenii I.; Myasnikov, Alexei G.
2003
The Kourovka notebook. Unsolved problems in group theory. (Kourovskaya tetrad’. Nereshennye voprosy teorii grupp). 15th augm. ed. Zbl 0999.20001
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
2002
Finite groups of bounded rank with an almost regular automorphism of prime order. Zbl 1018.20017
Khukhro, E. I.
2002
The Kourovka notebook. Unsolved problems in group theory. Transl. from the Russian. Including archive of solved problems. 15th augm. ed. Zbl 0999.20002
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
2002
On solvability of Lie rings with an automorphism of finite order. Zbl 0996.17006
Khukhro, E. I.
2001
On a question of G. Glauberman about a replacement theorem for finite $$p$$-groups. Zbl 0990.20011
Khukhro, E. I.
2001
Finite soluble and nilpotent groups with a restriction on the rank of the centralizer of an automorphism of prime order. Zbl 0956.20013
Khukhro, E. I.
2000
On a connection between nilpotent groups and Lie rings. Zbl 0993.20028
Jaikin-Zapirain, A.; Khukhro, E. I.
2000
Bounding the exponent of a finite group with automorphisms. Zbl 0923.20014
Khukhro, E. I.; Shumyatsky, P.
1999
The Kourovka notebook. Unsolved problems in group theory. Transl. from the Russian. 14th augm. ed. Zbl 0943.20004
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
1999
Transitive permutation groups with bounded movement having maximal degree. Zbl 0922.20006
Hassani, Akbar; Khayaty, Mehdi; Khukhro, E. I.; Praeger, Cheryl E.
1999
Applications of the Baker-Hausdorff formula in finite $$p$$-groups. Zbl 0941.20013
Khukhro, E. I.
1999
Generalizations of the restricted Burnside problem for groups with automorphisms. Zbl 0941.20043
Khukhro, E. I.
1999
The Kourovka notebook. Unsolved problems in group theory. (Kourovskaya tetrad’. Nereshennye voprosy teorii grupp). 14th augm. ed. Zbl 0943.20003
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
1999
$$p$$-automorphisms of finite $$p$$-groups. Zbl 0897.20018
Khukhro, E. I.
1998
Lie rings admitting an automorphism of order 4 with few fixed points. Zbl 0903.17008
Makarenko, N. Yu.; Khukhro, E. I.
1998
Locally finite groups with all subgroups normal-by-(finite rank). Zbl 0896.20029
Khukhro, E. I.; Smith, H.
1998
Locally finite groups all of whose subgroups are boundedly finite over their cores. Zbl 0904.20030
Cutolo, G.; Khukhro, E. I.; Lennox, J. C.; Rinauro, S.; Smith, H.; Wiegold, James
1997
Finite core-$$p$$ $$p$$-groups. Zbl 0878.20014
Cutolo, G.; Khukhro, E. I.; Lennox, J. C.; Wiegold, J.; Rinauro, S.; Smith, H.
1997
On a generalization of the Hughes subgroup. Zbl 0941.20012
Khukhro, E. I.
1997
Nilpotent groups admitting an almost regular automorphism of order $$4$$. Zbl 0936.20032
Makarenko, N. Yu.; Khukhro, E. I.
1996
Almost regular automorphisms of finite groups of bounded rank. Zbl 0882.20014
Khukhro, E. I.
1996
Lie rings with automorphisms of degree 4 with small number of a fixed points. Zbl 0896.17005
Makharenko, N. Yu.; Khukhro, E. I.
1996
The Kourovka notebook. Unsolved problems in group theory. 13th augm. ed. Zbl 0838.20001
Mazurov, V. D. (ed.); Khukhro, E. I. (ed.)
1995
On fixed points of automorphisms of Lie rings and locally finite groups. Zbl 0901.20026
Khukhro, E. I.; Shumyatskij, P. V.
1995
On finite $$p$$-groups not satisfying the Hughes conjecture. Zbl 0835.20031
Khukhro, E. I.
1994
Nilpotent groups and their automorphisms. Zbl 0795.20018
Khukhro, Evgenij I.
1993
Finite $$p$$-groups admitting $$p$$-automorphisms with few fixed points. Zbl 0836.20018
Khukhro, E. I.
1993
Lie rings and Lie groups admitting an almost regular automorphism of prime order. Zbl 0745.17008
Khukhro, E. I.
1992
Nilpotency in varieties of groups with operators. Zbl 0735.20013
Khukhro, E. I.
1991
Lie rings and groups admitting an almost regular automorphism of prime order. Zbl 0713.17013
Khukhro, E. I.
1990
Groups and Lie rings admitting almost regular automorphisms of prime order. Zbl 0704.20026
Khukhro, E. I.
1990
A remark on periodic compact groups. Zbl 0682.22006
Khukhro, E. I.
1989
Construction of finite p-groups that admit partitions. Zbl 0727.20015
Khukhro, E. I.
1989
Nilpotent $$p$$-groups and their automorphisms. Zbl 0754.20003
Khukhro, E. I.
1989
Hughes problem for finite $$p$$-groups. Zbl 0665.20009
Khukhro, E. I.
1987
On the problem of Hughes for finite p-groups. Zbl 0658.20015
Khukhro, E. I.
1987
Nilpotent periodic groups with an almost regular automorphism of prime order. Zbl 0663.20039
Khukhro, E. I.
1987
On locally nilpotent groups admitting a splitting automorphism of prime order. Zbl 0622.20030
Khukhro, E. I.
1987
On locally nilpotent groups admitting a splitting automorphism of prime order. Zbl 0608.20025
Khukhro, E. I.
1986
A new identity in the Lie ring of a free group of prime period and groups without Hughes property. Zbl 0619.20016
Khukhro, E. I.
1986
Finite p-groups that are close to groups of prime period. Zbl 0614.20010
Khukhro, E. I.
1986
Finite $$p$$-groups admitting an automorphism of order $$p$$ with a small number of fixed points. Zbl 0598.20024
Khukhro, E. I.
1985
On the associated Lie ring of a free 2-generator group of prime exponent and the Hughes conjecture for 2-generator $$p$$-groups. Zbl 0519.20033
Khukhro, E. I.
1983
On a connection between Hughes’ conjecture and relations in finite groups of prime exponent. Zbl 0501.20016
Khukhro, E. I.
1983
On the Lie ring of a 2-generated free group of prime exponent and the Hughes conjecture for 2-generated $$p$$-groups. Zbl 0484.20017
Huhro, E. I.
1982
On a connection between a hypothesis of Hughes and relations in finite groups of prime exponent. Zbl 0473.20016
Khukhro, E. I.
1981
Nilpotency of solvable groups admitting a splitting automorphism of prime order. Zbl 0475.20018
Khukhro, E. I.
1980
A solvable group admitting a regular splitting automorphism of prime order is nilpotent. Zbl 0426.20027
Khukhro, E. I.
1979
Finite groups of period $$p^\alpha q^beta$$. Zbl 0427.20014
Khukhro, E. I.
1979
Verbal commutativity and fixed points of p-automorphisms of finite p- groups. Zbl 0411.20015
Khukhro, E. I.
1979
On finite groups of exponent $$p^\alpha q^beta$$. Zbl 0419.20019
Khukhro, E. I.
1978
...and 2 more Documents
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#### Cited by 477 Authors

 81 Shumyatsky, Pavel 54 Khukhro, Evgeniĭ I. 18 Makarenko, N. Yu. 13 Kamornikov, Sergey Fedorovich 12 Acciarri, Cristina 11 González-Sánchez, Jon 11 Sozutov, Anatoliĭ Ilyich 10 Jaikin-Zapirain, Andrei 10 Revin, Danila Olegovitch 9 Ahanjideh, Neda 8 De Melo, Emerson 8 Ercan, Gülin 8 Güloglu, Ismail Suayip 8 Jabara, Enrico 8 Koibaev, Vladimir Amurkhanovich 8 Shi, Wujie 8 Vdovin, Evgeniĭ Petrovich 7 Abdollahi, Alireza 7 Ballester-Bolinches, Adolfo 7 Khalili Asboei, Alireza 7 Mazurov, Viktor Danilovich 6 Glauberman, George 6 Gorshkov, Il’ya Borisovich 6 Grechkoseeva, Mariya Aleksandrovna 6 Guo, Wenbin 6 Timoshenko, Evgeniĭ Iosifovich 6 Yi, Xiaolan 5 Chen, Guiyun 5 de Giovanni, Francesco 5 Endimioni, Gérard 5 Fernández-Alcober, Gustavo A. 5 Kondrat’ev, Anatoliĭ Semenovich 5 Trombetti, Marco 5 Vasil’ev, Andreĭ Viktorovich 4 Buturlakin, Aleksandr Aleksandrovich 4 Caldeira, Jhone 4 Detomi, Eloisa 4 Durakov, Evgeny B. 4 Fouladi, Seyyed Hamed 4 Ghoraishi, Seyed Mohsen 4 Iranmanesh, Ali 4 Jiang, Qinhui 4 Kukin, G. P. 4 Orfi, R. 4 Rinauro, Silvana 4 Shao, Changguo 4 Shen, Rulin 4 Smith, Howard 4 Tong-Viet, Hung P. 4 Tortora, Antonio 4 Tota, Maria 4 Traustason, Gunnar 4 Vaughan-Lee, Michael R. 4 Vincenzi, Giovanni 4 Vorob’ev, Nikolaĭ Timofeevich 3 Alaeiyan, Mehdi 3 Bardakov, Valeriĭ Georgievich 3 Button, Jack Oliver 3 Dardano, Ulderico 3 de Souza Lima, Aline 3 Esteban-Romero, Ramón 3 Garaialde Ocaña, Oihana 3 Göbel, Rüdiger 3 Guralnick, Robert Michael 3 Kolesnikov, Sergeĭ G. 3 Kravtsova, Ol’ga Vadimovna 3 Legarreta, Leire 3 Li, Jinbao 3 Lv, Heng 3 Lytkina, Dar’ya Viktorovna 3 Mamontov, Andrey S. 3 Maróti, Attila 3 Meng, Hangyang 3 Morigi, Marta 3 O’Brien, Eamonn A. 3 Rodrigues, Sara 3 Roman’kov, Vitaly Anatol’evich 3 Sanção da Silveira, Danilo 3 Shabani-Attar, Mehdi 3 Sica, Carmela 3 Silveira, Danilo 3 Skresanov, Saveliĭ Vyacheslavovich 3 Talapov, V. V. 3 Thillaisundaram, Anitha 3 Tyutyanov, Valentin Nikolaevich 3 Umirbaev, Ualbaĭ Utmakhanbetovich 3 Wehrfritz, Bertram A. F. 3 Wiegold, James 3 Xu, Mingchun 3 Yang, Nanying 3 Zalesskii, Pavel 2 Amiri, Seyed Sadegh Salehi 2 Arıkan, Ahmet 2 Asar, Ali Osman 2 Assmann, Björn 2 Atabekyan, Varuzhan S. 2 Bludov, Vasiliĭ Vasil’evich 2 Bryce, Robert Aitken 2 Budkin, Aleksandr Ivanovich 2 Burness, Timothy C. ...and 377 more Authors
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#### Cited in 112 Serials

 113 Journal of Algebra 60 Siberian Mathematical Journal 41 Algebra and Logic 25 Journal of Group Theory 23 Israel Journal of Mathematics 22 Communications in Algebra 18 Journal of Algebra and its Applications 16 Monatshefte für Mathematik 15 Journal of Pure and Applied Algebra 14 Proceedings of the American Mathematical Society 14 International Journal of Algebra and Computation 13 Archiv der Mathematik 10 Bulletin of the Australian Mathematical Society 9 Transactions of the American Mathematical Society 9 Journal of Mathematical Sciences (New York) 9 International Journal of Group Theory 7 Mathematical Notes 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Proceedings of the Steklov Institute of Mathematics 5 Rendiconti del Seminario Matematico della Università di Padova 4 Advances in Mathematics 4 Glasgow Mathematical Journal 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 European Journal of Combinatorics 4 Acta Applicandae Mathematicae 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Algebra Colloquium 4 Doklady Mathematics 4 Trudy Instituta Matematiki 4 Journal of the Australian Mathematical Society 4 Frontiers of Mathematics in China 4 Science China. Mathematics 3 Discrete Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Czechoslovak Mathematical Journal 3 Annals of Mathematics. Second Series 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Groups, Complexity, Cryptology 3 Journal of Siberian Federal University. Mathematics & Physics 2 The Journal of Symbolic Logic 2 Mathematische Zeitschrift 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Ricerche di Matematica 2 Combinatorica 2 Journal of the American Mathematical Society 2 Science in China. Series A 2 Vestnik St. Petersburg University. Mathematics 2 Algebras and Representation Theory 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Central European Journal of Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 American Mathematical Monthly 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Linear and Multilinear Algebra 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Beiträge zur Algebra und Geometrie 1 Algebra Universalis 1 Annales de l’Institut Fourier 1 Collectanea Mathematica 1 Commentarii Mathematici Helvetici 1 Commentationes Mathematicae Universitatis Carolinae 1 Inventiones Mathematicae 1 Journal of the Korean Mathematical Society 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Topology and its Applications 1 Cybernetics 1 Note di Matematica 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Journal of Symbolic Computation 1 Forum Mathematicum 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Discrete Mathematics and Applications 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Archive for Mathematical Logic 1 Chinese Science Bulletin 1 Journal of Knot Theory and its Ramifications 1 Russian Mathematics 1 St. Petersburg Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Sbornik: Mathematics 1 European Mathematical Society Newsletter 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Dynamical and Control Systems 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 The Quarterly Journal of Mathematics 1 Algebraic & Geometric Topology 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Mediterranean Journal of Mathematics 1 Groups, Geometry, and Dynamics ...and 12 more Serials
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#### Cited in 29 Fields

 549 Group theory and generalizations (20-XX) 60 Nonassociative rings and algebras (17-XX) 30 Combinatorics (05-XX) 21 Mathematical logic and foundations (03-XX) 20 Associative rings and algebras (16-XX) 19 Topological groups, Lie groups (22-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 10 Number theory (11-XX) 9 General algebraic systems (08-XX) 8 Manifolds and cell complexes (57-XX) 7 Computer science (68-XX) 6 Abstract harmonic analysis (43-XX) 5 Geometry (51-XX) 4 Field theory and polynomials (12-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Algebraic topology (55-XX) 3 Algebraic geometry (14-XX) 3 $$K$$-theory (19-XX) 2 Commutative algebra (13-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX)